In Triangle ABC, the measure of angle B is 36 degrees more than three times the measure of angle A. The measure of angle C is 54 degrees more than the measure of angle A. Find the measure of each angle.

angle A = 18°

angle B = 36 + 3(18) = 90°

angle C = 54 + 18 = 72°

Step-by-step explanation:

A triangle is a shape with 3 sides. The total angle of a triangle is 180°. This means the sum of all the angle is 180°.

Let

angle A = a

angle B = 36 + 3a

angle C = 54 + a

The sum of angle A, B and C should be equals to 180°. Therefore,

a + 36 + 3a + 54 + a = 180°

collect like terms

5a + 90 = 180

5a = 180 - 90

5a = 90

divide both sides by 5

a = 90/5

a = 18°

angle A = 18°

angle B = 36 + 3(18) = 90°

angle C = 54 + 18 = 72°

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step-by-step explanation:

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answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

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